12982007808000 has 1920 divisors, whose sum is σ = 59867668224000. Its totient is φ = 2696675328000.

The previous prime is 12982007807987. The next prime is 12982007808013. The reversal of 12982007808000 is 80870028921.

It is a happy number.

12982007808000 is a `hidden beast` number, since 1 + 298 + 200 + 7 + 80 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12982007807987) and next prime (12982007808013).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4257790476 + ... + 4257793524.

It is an arithmetic number, because the mean of its divisors is an integer number (31181077200).

Almost surely, 2^{12982007808000} is an apocalyptic number.

12982007808000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12982007808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29933834112000).

12982007808000 is an abundant number, since it is smaller than the sum of its proper divisors (46885660416000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12982007808000 is an equidigital number, since it uses as much as digits as its factorization.

12982007808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 12982007808000 in words is "twelve trillion, nine hundred eighty-two billion, seven million, eight hundred eight thousand".